How is the production rate of product P 60 moles

A batch process is operated with the following sequence. The food to the batch process consists of a solution of 500 L of ethanol with 120 mole of A and 120 mole of the temperature of the solution is sufficient A and B will react to form the desired product Ath). Beth) -P) H-100 kimo (5) Note that the product Pis sparingly soluble in ethanol, which helps facilitate its removal from the reaction solution. It can be assumed that the reaction rate is first-order in both the concentration of Ale) and ()and so second-order al - (2) The batch process consists of the following FOUR steps: Initially, the tank is empty Fl tank with solution (ethanolAB) Increase temperature of the feed from 20C to 50C (1 hour) 2. Reaction takes place isothermally at 50C (4 hours, to give conversion of 50%) 3. Filtration of reaction solution to give product P (2 hours) 4. Drying with hot nitrogen gas followed by the removal of powder product (hours) Valve V2 to slow input of nitrogen gas (Stage 4 Valve V1 too input of food Filer for (ethan Valve V3 to w Heating cooling training of solution 004 thanol wash) nitrogen purge 6. The state containing the unreacted A and B) is then returned to the reaction vessel where the components are topped up to the initial amounts specified above. The time for the transfer and top up can be neglected. The whole process is then repeated Stage 1 Suge Etanolfat is the wered before retum for the next batch Images of hold up in tank at different stages of the batch process Information on stages 1. It can be assumed that the heating time for Stage 1 (1.) is proportional to the change in temperature (which is 30C in the case above). This would assume a constant-power heater. The heat capacity of the solution can be taken to be 500 KJ/K 2. For a batch reactor, assuming an overall second-eder derendency the reaction time (,) is related to the fractional conversion by 1 X (5) kic (1-x where in the rate constant (which increases with temperature) and (cal, la the initial concentration of component A At the completion of the reaction, the final concentration and amount of product are and respectively 3. For batch fitration, the filtration time() is defined as the time taken for the entire Solvent to pass through the file case, which will increase with volume of fitrate. As the filer cake increases in depth, so does the resistance to flow which will give a reduction in volumetric flowrate. From Darey's law and constant AP fitration, it can be shown that The final fitrate (V) is assumed to be 500 L for the above case. As an example, the volume is doubled, keeping the concentration the same, the filtration time will be quadrupled. 4. Because an amount of hot gas is used the product should be done dry for quality control purposes the drying time () can be considered to be independent of the final cake thickness, and the large value is for product quality reasons 5. For ethanol, the maximum solubility values are 0.6 molt and 0 25 moll for components A and B respectively at 50C These are the maximum amounts that will dissolve in the solvent of more A and B is added, this will remain in the solid phase